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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 344 · 40 questions
TalentJR

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

NameDateTime takenScore ___ / 40
  1. 1.Rahul has 24 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 5 and then take away 9. The answer is 51. What is my number?
  3. 3.Aditya has 22 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  4. 4.2 × ? − 13 = 23
  5. 5.I think of a number, multiply it by 9 and then add 15. The answer is 267. What is my number?
  6. 6.Aditya has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 15 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  8. 8.12 × ? − 1 = 179
  9. 9.A pen costs ₹7 more than a pencil. 4 pens and 3 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 7 and then add 1. The answer is 64. What is my number?
  11. 11.Vivaan has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  12. 12.Solve for x: 9(x + 6) = 7x + 70. What is x?
  13. 13.I think of a number, multiply it by 9 and then take away 2. The answer is 133. What is my number?
  14. 14.3 × ? + 14 = 20
  15. 15.6 × ? + 7 = 19
  16. 16.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹10 more than a pencil. 4 pens and 3 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 3(x + 4) = x + 18. What is x?
  19. 19.Zoya has 17 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  20. 20.Solve for x: 8(x + 3) = 4x + 56. What is x?
  21. 21.I think of a number, multiply it by 8 and then add 15. The answer is 247. What is my number?
  22. 22.The length of a rectangle is 11 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 4 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  24. 24.The length of a rectangle is 3 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  25. 25.Zoya has 26 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  26. 26.Diya has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  27. 27.2 × ? + 21 = 27
  28. 28.The length of a rectangle is 15 m more than its breadth. Its perimeter is 150 m. What is its breadth (in m)?
  29. 29.The length of a rectangle is 3 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  30. 30.Solve for x: 8(x + 8) = 6x + 102. What is x?
  31. 31.Solve for x: 5(x + 6) = 2x + 33. What is x?
  32. 32.The length of a rectangle is 14 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  33. 33.3 × ? − 25 = 32
  34. 34.I think of a number, multiply it by 7 and then add 39. The answer is 74. What is my number?
  35. 35.10 × ? + 30 = 180
  36. 36.I think of a number, multiply it by 5 and then take away 15. The answer is 100. What is my number?
  37. 37.The length of a rectangle is 6 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  38. 38.Solve for x: 8(x + 9) = 5x + 120. What is x?
  39. 39.I think of a number, multiply it by 3 and then add 18. The answer is 108. What is my number?
  40. 40.I think of a number, multiply it by 3 and then add 39. The answer is 114. What is my number?

Answer key

  1. 20
  2. 12
  3. 3
  4. 18
  5. 28
  6. 2
  7. 25
  8. 15
  9. 16
  10. 9
  11. 3
  12. 8
  13. 15
  14. 2
  15. 2
  16. 8
  17. 7
  18. 3
  19. 2
  20. 8
  21. 29
  22. 28
  23. 24
  24. 21
  25. 5
  26. 5
  27. 3
  28. 30
  29. 17
  30. 19
  31. 1
  32. 19
  33. 19
  34. 5
  35. 15
  36. 23
  37. 11
  38. 16
  39. 30
  40. 25

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